The diagram shows two circles, centres A and B, each of radius 10 cm. The point B

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The diagram shows two circles, centres A and B, each of radius 10 cm. The point B lies on the circumference of the circle with centre A. The two circles intersect at the points C and D. The point E lies on the circumference of the circle centre B such that ABE is a diameter.


i. Explain why triangle ABC is equilateral.

ii. Write down, in terms of π, angle CBE.

iii. Find the perimeter of the shaded region.

iv. Find the area of the shaded region.

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